docs(formalization.yaml): cite Maynard Theorem 1.3 for the 600 bound

[morluto]

Fixes#7

What

Corrects the Maynard citation for bombieriVinogradov_implies_prime_gap_le_600 from "Theorem 1.4, second inequality" to "Theorem 1.3" in both places it appears:

• sources[].location
• alignment.statements[].source

Why

The formalized theorem assumes BombieriVinogradov and bounds consecutive gaps {n+1}-p_n$. That is precisely Maynard's Theorem 1.3 (Small gaps between primes, Annals 181(1):383–413). Theorem 1.4 instead assumes level of distribution $\theta$ for every $\theta<1$ (Elliott–Halberstam strength) and its second inequality bounds {n+2}-p_n$ — a stronger hypothesis and a different conclusion, so the previous attribution misdescribed the result in the registry metadata.

The implemented proof also matches Theorem 1.3's route (admissible 105-tuple of diameter 600, {105}>4$, BV supplying every $\theta<1/2$).

Validation

• YAML parses and conforms to schema v0.4 (checked programmatically).
• Metadata-only change; no Lean source touched.

[morluto]

Fixes#7

What

Corrects the Maynard citation for bombieriVinogradov_implies_prime_gap_le_600 from "Theorem 1.4, second inequality" to "Theorem 1.3" in both places it appears:

• sources[].location
• alignment.statements[].source

Why

The formalized theorem assumes BombieriVinogradov and bounds consecutive gaps {n+1}-p_n$. That is precisely Maynard's Theorem 1.3 (Small gaps between primes, Annals 181(1):383–413). Theorem 1.4 instead assumes level of distribution $\theta$ for every $\theta<1$ (Elliott–Halberstam strength) and its second inequality bounds {n+2}-p_n$ — a stronger hypothesis and a different conclusion, so the previous attribution misdescribed the result in the registry metadata.

The implemented proof also matches Theorem 1.3's route (admissible 105-tuple of diameter 600, {105}>4$, BV supplying every $\theta<1/2$).

Validation

• YAML parses and conforms to schema v0.4 (checked programmatically).
• Metadata-only change; no Lean source touched.

[morluto]

Fixes#7

What

Corrects the Maynard citation for bombieriVinogradov_implies_prime_gap_le_600 from "Theorem 1.4, second inequality" to "Theorem 1.3" in both places it appears:

• sources[].location
• alignment.statements[].source

Why

The formalized theorem assumes BombieriVinogradov and bounds consecutive gaps {n+1}-p_n$. That is precisely Maynard's Theorem 1.3 (Small gaps between primes, Annals 181(1):383–413). Theorem 1.4 instead assumes level of distribution $\theta$ for every $\theta<1$ (Elliott–Halberstam strength) and its second inequality bounds {n+2}-p_n$ — a stronger hypothesis and a different conclusion, so the previous attribution misdescribed the result in the registry metadata.

The implemented proof also matches Theorem 1.3's route (admissible 105-tuple of diameter 600, {105}>4$, BV supplying every $\theta<1/2$).

Validation

• YAML parses and conforms to schema v0.4 (checked programmatically).
• Metadata-only change; no Lean source touched.

[morluto]

Fixes#7

What

Corrects the Maynard citation for bombieriVinogradov_implies_prime_gap_le_600 from "Theorem 1.4, second inequality" to "Theorem 1.3" in both places it appears:

• sources[].location
• alignment.statements[].source

Why

The formalized theorem assumes BombieriVinogradov and bounds consecutive gaps {n+1}-p_n$. That is precisely Maynard's Theorem 1.3 (Small gaps between primes, Annals 181(1):383–413). Theorem 1.4 instead assumes level of distribution $\theta$ for every $\theta<1$ (Elliott–Halberstam strength) and its second inequality bounds {n+2}-p_n$ — a stronger hypothesis and a different conclusion, so the previous attribution misdescribed the result in the registry metadata.

The implemented proof also matches Theorem 1.3's route (admissible 105-tuple of diameter 600, {105}>4$, BV supplying every $\theta<1/2$).

Validation

• YAML parses and conforms to schema v0.4 (checked programmatically).
• Metadata-only change; no Lean source touched.

[morluto]

Fixes#7

What

Corrects the Maynard citation for bombieriVinogradov_implies_prime_gap_le_600 from "Theorem 1.4, second inequality" to "Theorem 1.3" in both places it appears:

• sources[].location
• alignment.statements[].source

Why

The formalized theorem assumes BombieriVinogradov and bounds consecutive gaps {n+1}-p_n$. That is precisely Maynard's Theorem 1.3 (Small gaps between primes, Annals 181(1):383–413). Theorem 1.4 instead assumes level of distribution $\theta$ for every $\theta<1$ (Elliott–Halberstam strength) and its second inequality bounds {n+2}-p_n$ — a stronger hypothesis and a different conclusion, so the previous attribution misdescribed the result in the registry metadata.

The implemented proof also matches Theorem 1.3's route (admissible 105-tuple of diameter 600, {105}>4$, BV supplying every $\theta<1/2$).

Validation

• YAML parses and conforms to schema v0.4 (checked programmatically).
• Metadata-only change; no Lean source touched.

[morluto]

Fixes#7

What

Corrects the Maynard citation for bombieriVinogradov_implies_prime_gap_le_600 from "Theorem 1.4, second inequality" to "Theorem 1.3" in both places it appears:

• sources[].location
• alignment.statements[].source

Why

The formalized theorem assumes BombieriVinogradov and bounds consecutive gaps {n+1}-p_n$. That is precisely Maynard's Theorem 1.3 (Small gaps between primes, Annals 181(1):383–413). Theorem 1.4 instead assumes level of distribution $\theta$ for every $\theta<1$ (Elliott–Halberstam strength) and its second inequality bounds {n+2}-p_n$ — a stronger hypothesis and a different conclusion, so the previous attribution misdescribed the result in the registry metadata.

The implemented proof also matches Theorem 1.3's route (admissible 105-tuple of diameter 600, {105}>4$, BV supplying every $\theta<1/2$).

Validation

• YAML parses and conforms to schema v0.4 (checked programmatically).
• Metadata-only change; no Lean source touched.

[morluto]

Fixes#7

What

Corrects the Maynard citation for bombieriVinogradov_implies_prime_gap_le_600 from "Theorem 1.4, second inequality" to "Theorem 1.3" in both places it appears:

• sources[].location
• alignment.statements[].source

Why

The formalized theorem assumes BombieriVinogradov and bounds consecutive gaps {n+1}-p_n$. That is precisely Maynard's Theorem 1.3 (Small gaps between primes, Annals 181(1):383–413). Theorem 1.4 instead assumes level of distribution $\theta$ for every $\theta<1$ (Elliott–Halberstam strength) and its second inequality bounds {n+2}-p_n$ — a stronger hypothesis and a different conclusion, so the previous attribution misdescribed the result in the registry metadata.

The implemented proof also matches Theorem 1.3's route (admissible 105-tuple of diameter 600, {105}>4$, BV supplying every $\theta<1/2$).

Validation

• YAML parses and conforms to schema v0.4 (checked programmatically).
• Metadata-only change; no Lean source touched.

[morluto]

Fixes#7

What

Corrects the Maynard citation for bombieriVinogradov_implies_prime_gap_le_600 from "Theorem 1.4, second inequality" to "Theorem 1.3" in both places it appears:

• sources[].location
• alignment.statements[].source

Why

The formalized theorem assumes BombieriVinogradov and bounds consecutive gaps {n+1}-p_n$. That is precisely Maynard's Theorem 1.3 (Small gaps between primes, Annals 181(1):383–413). Theorem 1.4 instead assumes level of distribution $\theta$ for every $\theta<1$ (Elliott–Halberstam strength) and its second inequality bounds {n+2}-p_n$ — a stronger hypothesis and a different conclusion, so the previous attribution misdescribed the result in the registry metadata.

The implemented proof also matches Theorem 1.3's route (admissible 105-tuple of diameter 600, {105}>4$, BV supplying every $\theta<1/2$).

Validation

• YAML parses and conforms to schema v0.4 (checked programmatically).
• Metadata-only change; no Lean source touched.